Trans-statistical behavior of a multiparticle system in an ontology of properties

In the last years, the surprising bosonic behavior that a many-fermion system may acquire, has raised interest because of theoretical and practical reasons. This trans-statistical behavior is usually considered to be the result of approximation modeling methods generally employed by physicists when faced with complexity. In this paper, we take a tensor product structure and an ontology of properties approach and provide two versions (standard and algebraic) of a toy model in order to argue that trans-statistical behavior allows for a realistic interpretation.